Probabilistic Analysis of Tunnel Face Stability below River Using Bayesian Framework

<table class="fixed-width table-group" id="tab2"><tr><td><table class="table"><colgroup><col style="width:5.40em"/><col style="width:3.60em"/><col style="width:4.60em"/><col style="width:3.39em"/></colgroup><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr class="thead"><td class="align_left">Parameter</td><td class="align_center">Mean</td><td class="align_center">Std. dev.</td><td class="align_center">COV</td></tr><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr><td class="align_left"><span style="width: 7.69399ptpx;"><svg height="9.39034pt" id="M97" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 7.69399 9.39034" width="7.69399pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M559 271C559 395 493 448 433 448C370 448 304 394 275 297C259 245 235 121 219 37C157 54 113 110 113 201C113 310 180 386 276 429L265 457C131 410 23 326 23 186C23 83 86 5 211 -10C180 -159 167 -220 158 -252L165 -261C198 -255 236 -246 251 -218L287 -5C421 9 559 119 559 271ZM484 273C484 144 400 40 293 33L352 331C364 389 382 406 405 406C431 406 484 370 484 273Z" id="g113-253"></path></g></svg></span></td><td class="align_center">27.816</td><td class="align_center">3.181</td><td class="align_center">0.114</td></tr><tr><td class="align_left"><span style="width: 5.39742ptpx;"><svg height="6.1673pt" id="M98" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 5.39742 6.1673" width="5.39742pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M383 397C383 424 344 448 299 448C244 448 172 409 132 375C66 319 23 227 23 146C23 42 74 -12 146 -12C208 -12 298 30 359 103L343 124C315 95 248 48 192 48C145 48 111 85 111 163C111 228 129 294 151 330C171 363 201 401 241 401C275 401 302 384 325 356C332 347 339 344 348 348C373 360 383 381 383 397Z" id="g113-100"></path></g></svg></span></td><td class="align_center">4.268</td><td class="align_center">0.697</td><td class="align_center">0.163</td></tr><tr class="table-tr"><td colspan="4"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Statistic of posterior distribution parameters.</div>

Mathematical Problems in Engineering

tab2

Table 2

Table 2: Probabilistic Analysis of Tunnel Face Stability below River Using Bayesian Framework 